Answer:
I apologize for the confusion caused. Let's go through the problem again to determine the correct answer.
We have a police helicopter flying at 120 mph at an altitude of 1.5 miles above a highway. The radar detects an oncoming car at a distance of exactly 3 miles from the helicopter, and this distance is decreasing at a rate of 190 mph.
To find the speed of the car, we need to consider the relative motion between the car and the helicopter. From the perspective of the helicopter, the car's speed is the sum of its own speed and the rate at which the distance is decreasing.
Let's denote the speed of the car as "v_car" and the speed of the helicopter as "v_helicopter." The relative speed between the car and the helicopter is the difference between the two speeds, given by:
Relative speed = v_car - v_helicopter
Since the distance between the car and the helicopter is decreasing at a rate of 190 mph, the relative speed is -190 mph (negative because the car is approaching the helicopter).
However, since we want to find the speed of the car, we need to consider the magnitude of the relative speed. Taking the absolute value, we have:
|Relative speed| = |v_car - v_helicopter| = |-190|
Now, let's solve for the speed of the car:
|v_car - 120| = 190
We can solve this equation by considering two cases:
Case 1: v_car - 120 = 190
v_car = 190 + 120
v_car = 310 mph
Case 2: -(v_car - 120) = 190
-v_car + 120 = 190
v_car = 120 - 190
v_car = -70 mph
Since speed cannot be negative, we discard Case 2.
Therefore, the correct answer is that the speed of the car, as detected by the radar, is 310 mph.
THIS QUESTION ANSWER
Let's assume that the measure of angle 1 is represented by "x" and the measure of angle 2 is represented by "y". We are given that the ratio of the measures of angle 1 to angle 2 is 5:4. This can be expressed as:
x:y = 5:4
Since the angles are supplementary, the sum of their measures is 180 degrees:
x + y = 180
To solve this system of equations, we can use the ratio given to express one variable in terms of the other. Let's express "x" in terms of "y":
x = (5/4) * y
Substituting this expression for "x" into the second equation:
(5/4) * y + y = 180
Multiplying through by 4 to eliminate the fraction:
5y + 4y = 720
9y = 720
Dividing both sides by 9:
y = 80
Substituting the value of "y" back into the expression for "x":
x = (5/4) * 80
x = 100
Therefore, the measures of the supplementary angles that satisfy the given ratio are angle 1 with a measure of 100 degrees and angle 2 with a measure of 80 degrees.
I am very sorry maybe I did mistake in the previous questions answer so this is the revised ONE and sO please DO SEE once okay !!!